Hits:

Indexed by:期刊论文

Date of Publication:2008-01-15

Journal:COMPUTER METHODS IN APPLIED MECHANICS AND ENGINEERING

Included Journals:SCIE、EI

Volume:197

Issue:6-8

Page Number:741-755

ISSN No.:0045-7825

Key Words:Cosserat theory; VCFEM; parametric variational principle; parametric quadratic programming model

Abstract:The elastic-plastic analysis of heterogeneous Cosserat materials is carried out with the Voronoi cell finite element method (VCFEM) under small deformation. The parametric complementary energy principle of the Cosserat theory is developed. By using the parametric variational principle, the quadratic programming model and finite element formulation for the VCFEM are established. Compared with the conventional finite element method (FEM), the newly developed method requires no tedious iterative procedures, and has no convergence problems. Based on the developed method, the influence of microscopic heterogeneities on the overall mechanical responses of heterogeneous materials is studied. Numerical examples are given to demonstrate the validity and efficiency of the method developed. (c) 2007 Published by Elsevier B.V.